Do in long division method of squares and square roots of number 352836?

Answer 1

I think you want the square root of 352836 worked out by the division method:

Write division by splitting dividend into pairs of digits from right hand end

...................5...9...4

..............-----------

.........5 | 35 28 36..........5 is the highest square not bigger than 35

.................25 ......................= 5 x 5

.................---

....109 |.1028 ................Bring down 28, double 5 = 10 & put 9 in result & on end to make divisor 109

.....................981 ...............= 109 x 9

.....................----

.1184 |..4736 ...............Bring down 36, double 59 = 118 & put 4 in result & on end to make divisor 1184

..................4736 ...........= 1184 x 4

..................------

..........................0

Thus√ 352836 = 594.

Comments for those not familiar with the method.

Dots used to ensure columns [roughly] line up.